Which data set has an outlier?
a) 6, 13, 13, 15, 15, 18, 18, 22
b) 4, 4, 4, 8, 9, 9, 11, 18
c) 2, 3, 5, 7, 8, 8, 9, 10, 12, 17
d) 3, 6, 7, 7, 8, 8, 9, 9, 9, 10

the correct option is d.

step-by-step explanation:

a data set has an outlier if the data set lies out sides the interval

where .

option a,

the given data is

6, 13, 13, 15, 15, 18, 18, 22

divide the data in four equal parts.

(6, 13), (13, 15), (15, 18), (18, 22)

all the elements of the data lie in the interval [5.5,25.5], therefore the data set has no outlier.

option b,

the given data is

4, 4, 4, 8, 9, 9, 11, 18

divide the data in four equal parts.

(4, 4), (4, 8), (9, 9), (11, 18)

all the elements of the data lie in the interval [-5,19], therefore the data set has no outlier.

option c,

the given data is

2, 3, 5, 7, 8, 8, 9, 10, 12, 17

divide the data in four equal parts.

(2, 3), 5,( 7, 8), (8, 9), 10, (12, 17)

all the elements of the data lie in the interval [-2.5,17.5], therefore the data set has no outlier.

option d,

the given data is

3, 6, 7, 7, 8, 8, 9, 9, 9, 10

divide the data in four equal parts.

(3, 6), 7, (7, 8), (8, 9), 9,( 9, 10)

since 3∉[4,12], therefore the data set has an outlier 3.

thus option d is correct.

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

not sure but it may be b, as i said i'm not sure.